A multidimensional diffusion coefficient determination problem for the time-fractional equation
D. K. Durdiev, ASKAR RAHMONOV
Abstract
In this paper, we consider a multidimensional inverse problem for a fractional diffusion equation. The inverse problem is reduced to the equivalent integral equation. For solving this equation the Schauder principle is applied. The local existence and uniqueness results are obtained.
Topics & Concepts
MathematicsUniquenessDiffusion equationInverse problemMathematical analysisInverseDiffusionUniqueness theorem for Poisson's equationFractional calculusApplied mathematicsGeometryEconomicsThermodynamicsEconomyPhysicsService (business)Fractional Differential Equations SolutionsDifferential Equations and Boundary ProblemsNumerical methods in inverse problems